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Irina-Kira [14]
3 years ago
13

PEOPLE are waiting in line for a theater premiere.Every 6th person in line will receive a theater ticket.Every 8th person in lin

e will receive a gift card for $30.Which person will be the first to receive both prizes?
Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0
48. This is so because it's a simple multiplication problem. All you had to do was multiply 6 by 8 to get 48.
Hope this helps!
stich3 [128]3 years ago
6 0
This is a perfect example of a problem asking for the LCM (Least Common Factor). If every 6th person in line gets a prize, and every 8th person gets a prize, then those are the two numbers you have to use to find the LCM. Now let's list the multiples of both numbers:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

What is the first number you see that both numbers (6,8) have? I see 24 as the first number. So, in the line, the first person to get both the theater ticket and the gift card of $30 will be the 24th one. Hope this helps! :D
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How can I create a sine graph that has a period of 2π and an amplitude of 3?
inna [77]

Hello!


The parent function of the graph of sin is y = sin(x).


Amplitude is the maximum displacement on the graph of a function.

Period is the displacement of x at which the graph of a function begins to repeat.

The period can be found by using the formula: P = \frac{2\pi}{B}.


Since the amplitude is 3, the graph of sin is y = 3sin(x).


Given the period 2π, we can substitute this value into the given formula, P = \frac{2\pi}{B}, to find B.


2π = 2π / B (multiply B to both sides)

2π · B = 2π (divide by 2π)

B = 1


Thus, the equation is y = 3sin(x). I'll post the graph as well.

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3 years ago
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Contact [7]

Answer:

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Step-by-step explanation:

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Timmy has 13 dollars in his bank account he withdrew m amount of dollars. He is now 100 dallors in debt. How much
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Step-by-step explanation:

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I need help with these questions ( see image for question ).<br>Please show working.<br>​
antiseptic1488 [7]

Answer:

  • k = -4 ± 2√5

Step-by-step explanation:

#22

<h3>Given </h3>
  • Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
  • The value of k
<h3>Solution</h3>

<u>The equation in standard form is:</u>

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<u>When the quadratic equation has equal roots its discriminant is zero</u>

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hodyreva [135]

Answer: 13) 6

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Step-by-step explanation:

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